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2145236240 = 245717921401
BaseRepresentation
bin111111111011101…
…1011010100010000
312112111122021220002
41333313123110100
513343140024430
6552511505132
7104106131030
oct17767332420
95474567802
102145236240
11a00a25814
124ba5281a8
13282598b74
14164ca38c0
15c8500845
hex7fddb510

2145236240 has 80 divisors (see below), whose sum is σ = 5732311680. Its totient is φ = 731366400.

The previous prime is 2145236167. The next prime is 2145236251. The reversal of 2145236240 is 426325412.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89540 + ... + 110940.

It is an arithmetic number, because the mean of its divisors is an integer number (71653896).

Almost surely, 22145236240 is an apocalyptic number.

2145236240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2145236240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2866155840).

2145236240 is an abundant number, since it is smaller than the sum of its proper divisors (3587075440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2145236240 is a wasteful number, since it uses less digits than its factorization.

2145236240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21600 (or 21594 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

The square root of 2145236240 is about 46316.6950461710. The cubic root of 2145236240 is about 1289.7089341908.

The spelling of 2145236240 in words is "two billion, one hundred forty-five million, two hundred thirty-six thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 179 280 358 560 716 895 1253 1432 1790 2506 2864 3580 5012 6265 7160 10024 12530 14320 20048 21401 25060 42802 50120 85604 100240 107005 149807 171208 214010 299614 342416 428020 599228 749035 856040 1198456 1498070 1712080 2396912 2996140 3830779 5992280 7661558 11984560 15323116 19153895 26815453 30646232 38307790 53630906 61292464 76615580 107261812 134077265 153231160 214523624 268154530 306462320 429047248 536309060 1072618120 2145236240